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On the Homology Theory of Operator Algebras 算子代数的同调理论
IF 1.2 Q2 Mathematics
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES
Pub Date : 2012-12-25 DOI: 10.1155/2012/368527
A. Noreldeen
We investigate the cyclic homology and free resolution effect of a commutative unital Banach algebra. Using the free resolution operator, we define the relative cyclic homology of commutative Banach algebras. Lemmas and theorems of this investigation are studied and proved. Finally, the relation between cyclic homology and relative cyclic homology of Banach algebra is deduced.
研究了交换一元Banach代数的循环同调和自由分辨效应。利用自由分辨算子，定义了交换Banach代数的相对循环同调。研究并证明了本研究的引理和定理。最后，推导了Banach代数的循环同调与相对循环同调的关系。
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引用次数: 3
On Upper and Lower (,)-Continuous Multifunctions 关于上、下(，)-连续多函数
IF 1.2 Q2 Mathematics
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES
Pub Date : 2012-08-15 DOI: 10.1155/2012/931656
C. Boonpok
A new class of multifunctions, called upper (lower) 𝛽(𝜇𝑋,𝜇𝑌)-continuous multifunctions, has been defined and studied. Some characterizations and several properties concerning upper (lower) 𝛽(𝜇𝑋,𝜇𝑌)-continuous multifunctions are obtained. The relationships between upper (lower) 𝛽(𝜇𝑋,𝜇𝑌)-continuous multifunctions and some known concepts are also discussed.
定义并研究了一类新的多函数，称为上(下)时延时延(≥≥𝑋，≥≥𝑌)-连续多函数。得到了关于上(下)个连续多函数的一些刻画和若干性质。讨论了上(下)个连续多函数(≥≥≥)与一些已知概念之间的关系。
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引用次数: 1
Group Divisible Designs with Two Associate Classes and 2=1 具有两个关联类和2=1的群可分设计
IF 1.2 Q2 Mathematics
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES
Pub Date : 2011-07-27 DOI: 10.1155/2011/148580
N. Pabhapote, N. Punnim
The original classiffcation of PBIBDs defined group divisible designs GDD( 𝑣 = 𝑣 1 + 𝑣 2 + ⋯ + 𝑣 𝑔 , 𝑔 , 𝑘 , 𝜆 1 , 𝜆 2 ) with 𝜆 1 ≠ 0 . In this paper, we prove that the necessary conditions are suffcient for the existence of the group divisible designs with two groups of unequal sizes and block size three with 𝜆 2 = 1 .
pbibd的原始分类定义了群可分设计GDD(𝑣=𝑣1 +𝑣2 +⋯+𝑣𝑔，𝑔，𝑘， 1， 2)，且 1≠0。本文证明了两组大小不等且块大小为3且 2 = 1的群可分设计存在的充分必要条件。
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引用次数: 4
On the Dynamics of Nonautonomous Parabolic Systems Involving the Grushin Operators 涉及Grushin算子的非自治抛物系统动力学
IF 1.2 Q2 Mathematics
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES
Pub Date : 2011-04-14 DOI: 10.1155/2011/178057
Toi Vu Manh
We study the long-time behavior of solutions to nonautonomous semilinear parabolic systems involving the Grushin operators in bounded domains. We prove the existence of a pullback -attractor in for the corresponding process in the general case. When the system has a special gradient structure, we prove that the obtained pullback -attractor is more regular and has a finite fractal dimension. The obtained results, in particular, extend and improve some existing ones for the reaction-diffusion equations and the Grushin equations.
研究了有界区域上含Grushin算子的非自治半线性抛物型系统解的长时间行为。在一般情况下，我们证明了相应过程的回拉吸引子的存在性。当系统具有特殊的梯度结构时，我们证明了所得到的回拉吸引子更加规则，并且具有有限的分形维数。所得结果特别推广和改进了反应扩散方程和Grushin方程的一些已有结果。
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引用次数: 4
Geometric Sensitivity of a Pinhole Collimator. 针孔准直器的几何灵敏度。
IF 1.2 Q2 Mathematics
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES
Pub Date : 2010-02-19 DOI: 10.1155/2010/915958
Howard Jacobowitz, Scott D Metzler

Geometric sensitivity for single photon emission computerized tomography (SPECT) is given by a double integral over the detection plane. It would be useful to be able to explicitly evaluate this quantity. This paper shows that the inner integral can be evaluated in the situation where there is no gamma ray penetration of the material surrounding the pinhole aperature. This is done by converting the integral to an integral in the complex plane and using Cauchy's theorem to replace it by one which can be evaluated in terms of elliptic functions.

单光子发射计算机断层扫描(SPECT)的几何灵敏度由探测平面上的二重积分给出。能明确地求出这个量是很有用的。本文表明，在针孔周围没有射线穿透的情况下，可以计算内积分。这是通过将积分转换为复平面上的积分，并使用柯西定理将其替换为一个可以用椭圆函数表示的积分来完成的。
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引用次数: 7
On the Rational Recursive Sequence 关于有理递归序列
IF 1.2 Q2 Mathematics
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES
Pub Date : 2008-06-11 DOI: 10.1155/2008/391265
Zayed E.M.E., El Moneam
We study the global stability, the periodic character, and the boundedness character of the positive solutions of the difference equation 𝑥𝑛
研究了差分方程的整体稳定性、周期特征和正解的有界性特征
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引用次数: 22
On a Generalization of Hilbert-Type Integral Inequality hilbert型积分不等式的一个推广
IF 1.2 Q2 Mathematics
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES
Pub Date : 2008-05-21 DOI: 10.1155/2008/381650
Sun Bao-ju
By introducing some parameters, we establish generalizations of the Hilbert-type inequality. As applications, the reverse and its equivalent form are considered.
通过引入一些参数，我们建立了hilbert型不等式的推广。作为应用，考虑了反向及其等价形式。
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引用次数: 1
A Note on the Regularity of the Solutions to Two Variational Inequalities Involving a Pseudodifferential Operator 含伪微分算子的两个变分不等式解的正则性注记
IF 1.2 Q2 Mathematics
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES
Pub Date : 2007-06-26 DOI: 10.1155/2007/95738
R. Cooper
The regularity of solutions to variational inequalities involving local operators has been studied extensively. Less attention has been paid to those involving nonlocal pseudodifferential operators. We present two regularity results for such problems.
涉及局部算子的变分不等式解的正则性得到了广泛的研究。对于涉及非局部伪微分算子的问题，关注较少。我们给出了这类问题的两个正则性结果。
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引用次数: 0
On the existence of multiple positive entire solutions for a class of quasilinear elliptic equations 一类拟线性椭圆型方程的多个正全解的存在性
IF 1.2 Q2 Mathematics
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES
Pub Date : 2006-07-13 DOI: 10.1155/IJMMS/2006/34538
Zuodong Yang
Our goal is to establish the theorems of existence and multiple of positive entire solutions for a class quasilinear elliptic equations in ℝN with the Schauder-Tychonoff fixed point theorem as the principal tool. In many articles, the theorems of existence and multiple of positive entire solutions for a class semilinear elliptic equations are established. The results of the semilinear equations are extended to the quasilinear ones and the results of semilinear equations are developed.
本文以Schauder-Tychonoff不动点定理为主要工具，建立了一类拟线性椭圆型方程的存在性和正全解的多重性定理。在许多文章中，建立了一类半线性椭圆型方程正全解的存在性和多重性定理。将半线性方程的结果推广到拟线性方程，发展了半线性方程的结果。
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引用次数: 6
Approximation of fixed points of strongly pseudocontractive mappings in uniformly smooth Banach spaces. 一致光滑Banach空间中强伪压缩映射不动点的逼近。
IF 1.2 Q2 Mathematics
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES
Pub Date : 2006-06-04 DOI: 10.1155/IJMMS/2006/46561
Xue Zhiqun
Let E be a real uniformly smooth Banach space, and K a nonempty closed convex subset of E. Assume that T1
设E为实一致光滑巴拿赫空间，K为E的非空闭凸子集，设T1
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引用次数: 0
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